[ Eq(Derivative(x1, t), (1*k87*2303/100*k28*(k188 - x1/k88)/(k89*(1 + x1/k90) + k188) + (-1)*k87*1737/20*k28/(k91*k92)*(x1*x4 - x2*x3/k93)/(1 + x1/k91 + x4/k92 + x1*x4/(k91*k92) + x2/k94 + x3/k95 + x2*x3/(k94*k95) + x1*x3/(k91*k95) + x2*x4/(k94*k92)))/k87),
  Eq(Derivative(x2, t), (1*k87*1737/20*k28/(k91*k92)*(x1*x4 - x2*x3/k93)/(1 + x1/k91 + x4/k92 + x1*x4/(k91*k92) + x2/k94 + x3/k95 + x2*x3/(k94*k95) + x1*x3/(k91*k95) + x2*x4/(k94*k92)) + (-1)*k87*(7778*k28*x2/k82 - 7778*k28*k81/(k82*k14)*x5/k81)/(1 + x2/k82 + x5/k81 + x7/k96 + x6/k97 + x8/k98) + (-1)*k87*126/125*k28/k99/k100*(x2*x10 - x8*x11/k101)/(1 + x10*(1 + x2/k99)/k100 + x4/k102 + x11/k103 + x12/k104) + 1*k87*(k55*x22/k57 - k55*k56/(k57*k16)*x2/k56)/(1 + x22/k57 + x2/k56))/k87),
  Eq(Derivative(x4, t), ((-1)*k87*1737/20*k28/(k91*k92)*(x1*x4 - x2*x3/k93)/(1 + x1/k91 + x4/k92 + x1*x4/(k91*k92) + x2/k94 + x3/k95 + x2*x3/(k94*k95) + x1*x3/(k91*k95) + x2*x4/(k94*k92)) + (-1)*k87*k145*(x15*x4 - k190*k189/k146)/((k147 + x4)*(k148 + x15)) + 1*k87*(7341/100*k28*x12*x3/(k151*k51*k52) - 7341/100*k28*k49*k50/(k51*k52*k20)*x28*x4/(k152*k49*k50))/(1 + x12/k51 + x3/k52 + x12*x3/(k151*k51*k52) + x28*x4/(k152*k49*k50) + x28/k49 + x4/k50) + (-1)*k87*32040*k28/k157*k17*x22*k17*x4*k17*k192*(1 - (k17*k191)**2*k17*x3/(k17*x22*k17*x4*k158))/(1 + k17*x22*k17*x4*k17*k192/k157 + k17*k192*(k17*k191)**2*k17*x3/k159) + (-1)*k87*538/5*k28*k17*x4/k160/(1 + k17*x4/k160)*(1 + k161*k17*k194/(k162*k163))/(1 + k17*k194/(k162*k163))*(k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163))*(1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**3/(k165*(1 + k17*k193/k166)**4*(1 + k17*x4/k167)**4/(1 + k17*k194/k163)**4 + (1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**4) - k17*x3*k17*x6/(k168*k169*k170)/(k17*x3/k168 + k17*x6/k169 + k17*x3*k17*x6/(k168*k169) + 1)) + 1*k87*2781/100*k28*(k17*x3/k171/(1 + k17*x3/k171)*k17*x30/k172*(1 + k17*x30/k172)**3/(k173*(1 + k17*x4/k174)**4/(1 + k17*x6/k175)**4 + (1 + k17*x30/k172)**4) - k17*x4*k17*x31/(k176*k177*k178)/(k17*x4/k176 + k17*x31/k177 + k17*x4*k17*x31/(k176*k177) + 1)) + 1*k87*k181*x3**2*(1 - x4*k189/k182)/((1 + x3)**2 + (1 + x4)*(1 + k189) - 1) + 1*k87*9801000*k29*x31**(1/k185)*k191*x3*k197**(5/(2*k185))*(1 - x4*k196**(3/k185)/(x31**(1/k185)*k197**(5/(2*k185))*k191*x3*k186))/((1 + x31)**(1/k185)*(1 + k197)**(5/(2*k185))*(1 + k191)*(1 + x3) + (1 + x4)*(1 + k196)**(3/k185) - 1) + (-1)*k87*k187*x4)/k87),
  Eq(Derivative(x5, t), (1*k87*(7778*k28*x2/k82 - 7778*k28*k81/(k82*k14)*x5/k81)/(1 + x2/k82 + x5/k81 + x7/k96 + x6/k97 + x8/k98) + 1*k87*1761/10000*k28*(x7*x14 - x16*x5/k128)/((k129 + x7)*x14 + (k130 + k131*x5)*x7 + (k132 + k133*x5)*x16 + k134*x5 + k135*x14*x16) + 1*k87*k136*(x17*x16 - x7*x5/k137)/((k138 + x16)*x17 + (k139 + k140*x5)*x16 + (k141 + k142*x5)*x7 + k143*x5 + k144*x17*x7) + (-1)*k87*538/5*k28*k17*x4/k160/(1 + k17*x4/k160)*(1 + k161*k17*k194/(k162*k163))/(1 + k17*k194/(k162*k163))*(k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163))*(1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**3/(k165*(1 + k17*k193/k166)**4*(1 + k17*x4/k167)**4/(1 + k17*k194/k163)**4 + (1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**4) - k17*x3*k17*x6/(k168*k169*k170)/(k17*x3/k168 + k17*x6/k169 + k17*x3*k17*x6/(k168*k169) + 1)))/k87),
  Eq(Derivative(x6, t), ((-1)*k87*(1463/100*k28*x6/k70 - 1463/100*k28*k68*k69/(k12*k70)*x27*x16/(k68*k69))/(1 + x6/k70 + x27/k68 + x16/k69 + x27*x16/(k68*k69)) + 1*k87*538/5*k28*k17*x4/k160/(1 + k17*x4/k160)*(1 + k161*k17*k194/(k162*k163))/(1 + k17*k194/(k162*k163))*(k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163))*(1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**3/(k165*(1 + k17*k193/k166)**4*(1 + k17*x4/k167)**4/(1 + k17*k194/k163)**4 + (1 + k17*x5*(1 + k17*k194/(k162*k163))/(k164*(1 + k17*k194/k163)))**4) - k17*x3*k17*x6/(k168*k169*k170)/(k17*x3/k168 + k17*x6/k169 + k17*x3*k17*x6/(k168*k169) + 1)))/k87),
  Eq(Derivative(x7, t), ((-1)*k87*1761/10000*k28*(x7*x14 - x16*x5/k128)/((k129 + x7)*x14 + (k130 + k131*x5)*x7 + (k132 + k133*x5)*x16 + k134*x5 + k135*x14*x16) + 1*k87*k136*(x17*x16 - x7*x5/k137)/((k138 + x16)*x17 + (k139 + k140*x5)*x16 + (k141 + k142*x5)*x7 + k143*x5 + k144*x17*x7))/k87),
  Eq(Derivative(x8, t), (1*k87*126/125*k28/k99/k100*(x2*x10 - x8*x11/k101)/(1 + x10*(1 + x2/k99)/k100 + x4/k102 + x11/k103 + x12/k104) + (-1)*k87*1551/50*k28/k105/k106*(x8*x10 - x13*x11/k107)/((1 + x10/k106)*(1 + x8/k105 + x12/k108) + x4/k109 + x11*(1 + x8/k110)/k111))/k87),
  Eq(Derivative(x9, t), 0),
  Eq(Derivative(x11, t), (1*k87*126/125*k28/k99/k100*(x2*x10 - x8*x11/k101)/(1 + x10*(1 + x2/k99)/k100 + x4/k102 + x11/k103 + x12/k104) + 1*k87*1551/50*k28/k105/k106*(x8*x10 - x13*x11/k107)/((1 + x10/k106)*(1 + x8/k105 + x12/k108) + x4/k109 + x11*(1 + x8/k110)/k111) + (-1)*k87*127800*k28*x11*(1 - x10/(x11*k184))/(1 + x11 + 1 + x10 - 1))/k87),
  Eq(Derivative(x12, t), (1*k87*(1091/10*k28*x19*x16*k191/(k76*k75*k77) - 1091/10*k28*k73*k74/(k75*k76*k77*k19)*x12*x18/(k73*k74))/(1 + x19/k76 + x19*x16/(k76*k75) + x19*x16*k191/(k76*k75*k77) + x12*x18/(k73*k74) + x18/k74) + (-1)*k87*(7341/100*k28*x12*x3/(k151*k51*k52) - 7341/100*k28*k49*k50/(k51*k52*k20)*x28*x4/(k152*k49*k50))/(1 + x12/k51 + x3/k52 + x12*x3/(k151*k51*k52) + x28*x4/(k152*k49*k50) + x28/k49 + x4/k50))/k87),
  Eq(Derivative(x13, t), (1*k87*1551/50*k28/k105/k106*(x8*x10 - x13*x11/k107)/((1 + x10/k106)*(1 + x8/k105 + x12/k108) + x4/k109 + x11*(1 + x8/k110)/k111) + (-1)*k87*k112*(x13 - x14/k113)/(x13 + k114*(1 + x14/k115)) + (-1)*k87*k116*(x13 - x15/k117)/(x13 + k118*(1 + x15/k119)))/k87),
  Eq(Derivative(x14, t), (1*k87*k112*(x13 - x14/k113)/(x13 + k114*(1 + x14/k115)) + (-1)*k87*1056*k28*(x15*x14 - x16*x17/k120)/((k121 + x15)*x14 + (k122 + k123*x17)*x15 + (k124 + k125*x17)*x16 + k126*x17 + k127*x14*x16) + (-1)*k87*1761/10000*k28*(x7*x14 - x16*x5/k128)/((k129 + x7)*x14 + (k130 + k131*x5)*x7 + (k132 + k133*x5)*x16 + k134*x5 + k135*x14*x16))/k87),
  Eq(Derivative(x15, t), (1*k87*k116*(x13 - x15/k117)/(x13 + k118*(1 + x15/k119)) + (-1)*k87*1056*k28*(x15*x14 - x16*x17/k120)/((k121 + x15)*x14 + (k122 + k123*x17)*x15 + (k124 + k125*x17)*x16 + k126*x17 + k127*x14*x16) + (-1)*k87*k145*(x15*x4 - k190*k189/k146)/((k147 + x4)*(k148 + x15)))/k87),
  Eq(Derivative(x16, t), (1*k87*1056*k28*(x15*x14 - x16*x17/k120)/((k121 + x15)*x14 + (k122 + k123*x17)*x15 + (k124 + k125*x17)*x16 + k126*x17 + k127*x14*x16) + 1*k87*1761/10000*k28*(x7*x14 - x16*x5/k128)/((k129 + x7)*x14 + (k130 + k131*x5)*x7 + (k132 + k133*x5)*x16 + k134*x5 + k135*x14*x16) + (-1)*k87*k136*(x17*x16 - x7*x5/k137)/((k138 + x16)*x17 + (k139 + k140*x5)*x16 + (k141 + k142*x5)*x7 + k143*x5 + k144*x17*x7) + 1*k87*(1463/100*k28*x6/k70 - 1463/100*k28*k68*k69/(k12*k70)*x27*x16/(k68*k69))/(1 + x6/k70 + x27/k68 + x16/k69 + x27*x16/(k68*k69)) + (-1)*k87*(747/125*k28*x16/k72 - 747/125*k28*k71/(k72*k18)*x27/k71)/(1 + x16/k72 + x27/k71) + (-1)*k87*(1091/10*k28*x19*x16*k191/(k76*k75*k77) - 1091/10*k28*k73*k74/(k75*k76*k77*k19)*x12*x18/(k73*k74))/(1 + x19/k76 + x19*x16/(k76*k75) + x19*x16*k191/(k76*k75*k77) + x12*x18/(k73*k74) + x18/k74))/k87),
  Eq(Derivative(x17, t), (1*k87*1056*k28*(x15*x14 - x16*x17/k120)/((k121 + x15)*x14 + (k122 + k123*x17)*x15 + (k124 + k125*x17)*x16 + k126*x17 + k127*x14*x16) + (-1)*k87*k136*(x17*x16 - x7*x5/k137)/((k138 + x16)*x17 + (k139 + k140*x5)*x16 + (k141 + k142*x5)*x7 + k143*x5 + k144*x17*x7))/k87),
  Eq(Derivative(x19, t), ((-1)*k87*(1091/10*k28*x19*x16*k191/(k76*k75*k77) - 1091/10*k28*k73*k74/(k75*k76*k77*k19)*x12*x18/(k73*k74))/(1 + x19/k76 + x19*x16/(k76*k75) + x19*x16*k191/(k76*k75*k77) + x12*x18/(k73*k74) + x18/k74) + 1*k87*(3403/10*k28*x18*x31/(k179*k85*k86) - 3403/10*k28*k83*k84/(k85*k86*k25)*k195*x19/(k180*k83*k84))/(1 + x18/k85 + x31/k86 + x18*x31/(k179*k85*k86) + k195*x19/(k180*k83*k84) + k195/k83 + x19/k84) + 1*k87*4982000*k28*x18*(1 - x19/(x18*k183))/(1 + x18 + 1 + x19 - 1))/k87),
  Eq(Derivative(x20, t), 0),
  Eq(Derivative(x21, t), 0),
  Eq(Derivative(x22, t), ((-1)*k87*(k55*x22/k57 - k55*k56/(k57*k16)*x2/k56)/(1 + x22/k57 + x2/k56) + 1*k87*(k58*k192*k191/(k61*k62) - k58*k59*k60/(k61*k62*k5)*k192*x22/(k149*k60))/(1 + k192/k61 + k191/k150 + k192/k59 + x22/k60 + k192*k191/(k61*k150) + k192*x22/(k59*k60)) + 1*k87*(k63*k192*k191/(k66*k153) - k63*k64*k65/(k66*k67*k6)*k192*x22/(k64*k65))/(1 + k192/k66 + k191/k67 + k192/k64 + x22/k154 + k192*k191/(k66*k153) + k192*x22/(k64*k65))*k189**k155/k156/(1 + k189**k155/k156) + (-1)*k87*32040*k28/k157*k17*x22*k17*x4*k17*k192*(1 - (k17*k191)**2*k17*x3/(k17*x22*k17*x4*k158))/(1 + k17*x22*k17*x4*k17*k192/k157 + k17*k192*(k17*k191)**2*k17*x3/k159))/k87),
  Eq(Derivative(x23, t), 0),
  Eq(Derivative(x24, t), 0),
  Eq(Derivative(x25, t), 0),
  Eq(Derivative(x26, t), 0),
  Eq(Derivative(x27, t), (1*k87*(1463/100*k28*x6/k70 - 1463/100*k28*k68*k69/(k12*k70)*x27*x16/(k68*k69))/(1 + x6/k70 + x27/k68 + x16/k69 + x27*x16/(k68*k69)) + 1*k87*(747/125*k28*x16/k72 - 747/125*k28*k71/(k72*k18)*x27/k71)/(1 + x16/k72 + x27/k71))/k87),
  Eq(Derivative(x28, t), (1*k87*(7341/100*k28*x12*x3/(k151*k51*k52) - 7341/100*k28*k49*k50/(k51*k52*k20)*x28*x4/(k152*k49*k50))/(1 + x12/k51 + x3/k52 + x12*x3/(k151*k51*k52) + x28*x4/(k152*k49*k50) + x28/k49 + x4/k50) + (-1)*k87*(k78*x28/k80 - k78*k79/(k80*k21)*x29/k79)/(1 + x28/k80 + x29/k79))/k87),
  Eq(Derivative(x29, t), (1*k87*(k78*x28/k80 - k78*k79/(k80*k21)*x29/k79)/(1 + x28/k80 + x29/k79) + (-1)*k87*(1609/10*k28*x29/k54 - 1609/10*k28*k53/(k54*k23)*x30/k53)/(1 + x29/k54 + x30/k53))/k87),
  Eq(Derivative(x30, t), (1*k87*(1609/10*k28*x29/k54 - 1609/10*k28*k53/(k54*k23)*x30/k53)/(1 + x29/k54 + x30/k53) + (-1)*k87*2781/100*k28*(k17*x3/k171/(1 + k17*x3/k171)*k17*x30/k172*(1 + k17*x30/k172)**3/(k173*(1 + k17*x4/k174)**4/(1 + k17*x6/k175)**4 + (1 + k17*x30/k172)**4) - k17*x4*k17*x31/(k176*k177*k178)/(k17*x4/k176 + k17*x31/k177 + k17*x4*k17*x31/(k176*k177) + 1)))/k87),
  Eq(Derivative(x31, t), (1*k87*2781/100*k28*(k17*x3/k171/(1 + k17*x3/k171)*k17*x30/k172*(1 + k17*x30/k172)**3/(k173*(1 + k17*x4/k174)**4/(1 + k17*x6/k175)**4 + (1 + k17*x30/k172)**4) - k17*x4*k17*x31/(k176*k177*k178)/(k17*x4/k176 + k17*x31/k177 + k17*x4*k17*x31/(k176*k177) + 1)) + (-1)*k87*(3403/10*k28*x18*x31/(k179*k85*k86) - 3403/10*k28*k83*k84/(k85*k86*k25)*k195*x19/(k180*k83*k84))/(1 + x18/k85 + x31/k86 + x18*x31/(k179*k85*k86) + k195*x19/(k180*k83*k84) + k195/k83 + x19/k84) + -2/25*k87*9801000*k29*x31**(1/k185)*k191*x3*k197**(5/(2*k185))*(1 - x4*k196**(3/k185)/(x31**(1/k185)*k197**(5/(2*k185))*k191*x3*k186))/((1 + x31)**(1/k185)*(1 + k197)**(5/(2*k185))*(1 + k191)*(1 + x3) + (1 + x4)*(1 + k196)**(3/k185) - 1))/k87),
  Eq(Derivative(x32, t), 0),
  Eq(Derivative(x33, t), 0),
  Eq(Derivative(x34, t), 0) ]